NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS

被引：59

作者：

BOUTAYEB, A ^{[1
]}

TWIZELL, EH ^{[1
]}

机构：

[1] BRUNEL UNIV,DEPT MATH & STAT,UXBRIDGE UB8 3PH,MIDDX,ENGLAND

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1992年 / 45卷 / 3-4期

关键词：

6TH-ORDER BOUNDARY-VALUE PROBLEMS; GLOBAL EXTRAPOLATION; FINITE DIFFERENCE METHODS;

D O I：

10.1080/00207169208804130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of numerical methods is developed for the solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family. Global extrapolation procedures on two and three grids, which increase the order of convergence, are outlined.

引用

页码：207 / 223

页数：17

共 10 条

[1]

Agarwal R.P., 1986, BOUND VALUE PROBL

[2]

Baldwin P., 1987, Applicable Analysis, V24, P117, DOI 10.1080/00036818708839658

[3] ASYMPTOTIC ESTIMATES OF THE EIGENVALUES OF A 6TH-ORDER BOUNDARY-VALUE PROBLEM OBTAINED BY USING GLOBAL PHASE-INTEGRAL METHODS [J].

BALDWIN, P .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 322 (1566) :281-305

[4]

BOUTAYEB A, 1991, THESIS BRUNEL U

[5]

Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA

[6]

Chawla M. M., 1979, BIT (Nordisk Tidskrift for Informationsbehandling), V19, P27, DOI 10.1007/BF01931218

[7] NUMERICAL SIMULATIONS OF STELLAR CONVECTIVE DYNAMOS .3. AT THE BASE OF THE CONVECTION ZONE [J].

GLATZMAIER, GA .

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1985, 31 (1-2) :137-150

[8] STELLAR CONVECTION THEORY .2. SINGLE-MODE STUDY OF 2ND CONVECTION ZONE IN AN A-TYPE STAR [J].

TOOMRE, J ;

ZAHN, JP ;

LATOUR, J ;

SPIEGEL, EA .

ASTROPHYSICAL JOURNAL, 1976, 207 (02) :545-563

[9]

Twizell E., 1988, NUMERICAL MATH, P495

[10] NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL AND GENERAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS, WITH APPLICATIONS TO BENARD LAYER EIGENVALUE PROBLEMS [J].

TWIZELL, EH ;

BOUTAYEB, A .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 431 (1883) :433-450

← 1 →